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Finding the Fourth Proportional to 64.40, 96.17 and 57.78

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Solution

The fourth proportional to 64.40, 96.17 and 57.78 is: 86.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.40 : 96.17 = 57.78 : x
  2. Step 2: Convert to fraction form
    64.40/96.17 = 57.78/x
  3. Step 3: Cross multiply
    64.40x = 96.17 × 57.78
  4. Step 4: Simplify right side
    64.40x = 5,556.41
  5. Step 5: Solve for x
    x = 5,556.41/64.40
  6. Step 6: Final answer
    x = 86.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.